A city planner randomly selects 100 apartments in Boston, Massachusetts, to estimate the mean living area per apartment. The sample yielded x = 875 square feet with a standard deviation s = 255 square feet. a. Calculate a 95% confidence interval for μ, the mean living area per apartment. (Keep in mind that since the sample size is large, s should be close to σ.) b. Having found the interval in (a), can you say there is a 95% chance that the mean living area is within the interval? Explain why or why not.

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